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Finding the Fourth Proportional to 7,454.57, 10,276.71 and 5,928.75

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Solution

The fourth proportional to 7,454.57, 10,276.71 and 5,928.75 is: 8,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,454.57 : 10,276.71 = 5,928.75 : x
  2. Step 2: Convert to fraction form
    7,454.57/10,276.71 = 5,928.75/x
  3. Step 3: Cross multiply
    7,454.57x = 10,276.71 × 5,928.75
  4. Step 4: Simplify right side
    7,454.57x = 60,928,066.65
  5. Step 5: Solve for x
    x = 60,928,066.65/7,454.57
  6. Step 6: Final answer
    x = 8,173.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.